Title :
Numerical dispersion relation for FDTD method in general curvilinear coordinates
Author :
Xiao, Fengchao ; Yabe, Hatsuo
Author_Institution :
Dept. of Commun. & Syst., Univ. of Electro-Commun., Tokyo, Japan
fDate :
2/1/1997 12:00:00 AM
Abstract :
The numerical dispersion relation (NDR) of the finite-difference time-domain method in general curvilinear coordinates (FDTD-GCC) is discussed for a two-dimensional (2-D) uniformly skewed mesh. The analysis shows that the average scheme, which is being used in the FDTD-GCC method, causes an additional numerical dispersion error. When this dispersion error is considered, the FDTD-GCC method holds the same NDR as that of the FDTD discrete surface integral (FDTD-DSI) method. It also indicates that the stable range of the FDTD-GCC method, with respect to the skewing angle in the 2-D case, is narrowed due to the average scheme
Keywords :
dispersion relations; error analysis; finite difference time-domain analysis; numerical stability; 2D uniformly skewed mesh; FDTD method; average scheme; dispersion error; finite-difference time-domain method; general curvilinear coordinates; numerical dispersion relation; skewing angle; Difference equations; Dispersion; Finite difference methods; Geometry; Magnetic fields; Maxwell equations; Time domain analysis; Two dimensional displays;
Journal_Title :
Microwave and Guided Wave Letters, IEEE
